Answers for modal paper class 7 (pt2)

Answers:

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SECTION A – OBJECTIVE TYPE (15 × 1 = 15 Marks)

1. Equation whose solution is x = –4

Check each option by substituting x = –4.

a) 3x + 2 = 10 → –12 + 2 = –10 ≠ 10 
b) 5 + x = 9 → 5 + (–4) = 1
c) 2x – 3 = –11 → –8 – 3 = –11 
d) x + 7 = 4 → –4 + 7 = 3 ≠ 4 

Correct answer: (c) 2x – 3 = –11

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2. If 7x – 4 = 3x + 20

7x – 3x = 20 + 4
4x = 24
x = 6

Answer: (c) 6

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3. Total = 9

Answer: (d) 9

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4. A net of a cube can never contain

A cube net cannot have 6 squares in a straight row.

Answer: (b) 6 squares

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5. Price increased by 20% and then discounted by 20%

Let original price = ₹100
After 20% increase → ₹120
After 20% discount → 20% of 120 = 24
Final price = 120 – 24 = ₹96

Final price is less than original

Answer: (c) less than original

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6. 4½% of 12 m

4½% = 4.5 / 100 = 0.045

0.045 × 12 = 0.54 m = 54 cm

Answer: (a) 54 cm

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7. Median of data: 14, 18, 12, 11, 25, 19, 15

Arrange in ascending order:
11, 12, 14, 15, 18, 19, 25

Median = middle value = 15

Answer: (a) 15

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8. Solid with exactly 5 vertices and 5 faces

• Square pyramid → 5 faces, 5 vertices

Answer: (c) square pyramid

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9. If 3(2x – 1) = 4(x + 2)

6x – 3 = 4x + 8
6x – 4x = 8 + 3
2x = 11
x = 5.5

Answer: (c) 5.5

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10. Simplest form of ratio 0.25 : 1.5

Multiply both by 4 → 1 : 6

Answer: (a) 1 : 6

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11. A pie chart represents data using

Pie charts use angles

Answer: (c) angles

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12. 45% of students are girls, number of girls = 18

45% = 18
Total students = 18 × 100 / 45 = 40

Answer: (a) 40

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13. A net of a triangular pyramid must contain

A triangular pyramid has 4 triangular faces

Answer: (a) 4 triangles

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14. Mode of the set

Data: {5, 6, 5, 7, 5, 6, 8, 7, 5, 8, 5, 6, 7, 5, 8, 5, 6, 5, 8}

Most frequent number = 5

Answer: (c) 5

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15. Mean of 6 numbers is 20

Sum = Mean × Number
= 20 × 6 = 120

Answer: (d) 120

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SECTION B – SHORT ANSWER (2 × 5 = 10 Marks)

16. Solve

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17. 

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✅ SECTION C – LONG ANSWER (3 × 5 = 15 Marks)

22. Solve the equations

(a) 7(x – 3) – 4 = 3x + 12
7x – 21 – 4 = 3x + 12
7x – 25 = 3x + 12
4x = 37
x = 9.25

(b) 5(2x + 1) – 3(3x – 2) = 4
10x + 5 – 9x + 6 = 4
x + 11 = 4
x = –7

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25. Double bar graph

1. Draw bars for Sunita and Vandhana for each subject

2. Sunita scored higher overall

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Modal question paper for class 7(pt2)

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CLASS 7 – MATHEMATICS

Revision Question Paper (Total: 40 Marks)

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SECTION A – OBJECTIVE TYPE (15 × 1 = 15 Marks)

1. The equation whose solution is x = −4 is:
a) 3x + 2 = 10
b) 5 + x = 9
c) 2x − 3 = −11
d) x + 7 = 4

2. If 7x − 4 = 3x + 20, then x equals:
a) 4
b) 5
c) 6
d) 3

3. Number of cubes in the following figure(iii):

a) 6
b) 7
c) 8
d) 9

4. A net of a cube can never contain:
a) 3 squares in a row
b) 6 squares
c) 5 squares in a row
d) A ‘T’ shaped arrangement

5. A shopkeeper increases the price of an item by 20% and then gives a discount of 20%. The final price will be:
a) equal to original price
b) more than original
c) less than original
d) cannot be determined

6. 4(1/2)% of 12m is
a) 54cm
b) 50cm
c) 52cm
d) 56cm

7. The median of the data 14, 18, 12, 11, 25, 19, 15 is:
a) 15
b) 18
c) 19
d) 14

8. Which solid has exactly 5 vertices and 5 faces
a) tetrahedron
b) regular octahedron
c) square pyramid
d) Hexagonal prism

9. If 3(2x – 1) = 4(x + 2), then x =
a) 3.5
b) 4.5
c) 5.5
d) 6.5

10. The simplest form of the ratio 0.25 : 1.5 is:
a) 1 : 6
b) 1 : 4
c) 1 : 8
d) 1 : 3

11. A pie chart represents data using:
a) bar lengths
b) line segments
c) angles
d) dots

12. In a class, 45% of the students are girls, if there are 18 girls in a class,then the number of students in the class is.
a) 40
b) 36
c) 30
d) 44

13. A net of a triangular pyramid must contain:
a) 4 triangles
b) 1 square + 3 triangles
c) 2 triangles + 2 squares
d) 4 squares

14. The mode of the set {5, 6, 5, 7, 5, 6, 8, 7, 5, 8, 5, 6, 7, 5, 8, 5, 6, 5, 8} is:
a) 6
b) 7
c) 5
d) none

15. If the mean of 6 numbers is 20, then the sum of the numbers is:
a) 40
b) 60
c) 100
d) 120

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SECTION B – SHORT ANSWER (2 × 5 = 10 Marks)

16. Solve :

             

17. 

18. A cycle’s price was increased by 15% and became ₹5,750.
Find its original price.

19. Sunil obtained 750 marks out of 800 and Ravi obtained 540 marks out of 

600.Whose performance is better ?

20. Complete the following table:

21. 

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SECTION C – LONG ANSWER (3 × 5 = 15 Marks)

22. Solve both equations:
a) 7(x - 3) - 4 = 3x + 12 
b) 5(2x + 1) - 3(3x - 2) = 4 

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23. i)A fair six-sided die numbered 1 to 6 is rolled once.What is the probability of getting:
a) an even number
b) a multiple of 3
c) a number 3 or 4

ii)A box of 600 electric bulbs contain 12 defective bulbs.One bulb is taken out at random from the box.What is the probability that it is a non defective bulb?

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24. Arun bought a car for Rs 3,50,000 . Next year , the price went upto

Rs 3,70,000.What was the percentage increase in the price ?

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25. 

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26. 
A mixture contains milk and water in the ratio 7 : 3.
If 5 litres of water is added, the new ratio becomes 7 : 4.
Find the initial quantity of the mixture.

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